86253601235760 has 360 divisors, whose sum is σ = 337078249780896. Its totient is φ = 19708256655360.

The previous prime is 86253601235731. The next prime is 86253601235773. The reversal of 86253601235760 is 6753210635268.

86253601235760 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 3 + 60 + 1 + 2 + 3 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×86253601235760² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86253601235697 and 86253601235706.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101429940 + ... + 102276780.

Almost surely, 2^{86253601235760} is an apocalyptic number.

86253601235760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86253601235760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168539124890448).

86253601235760 is an abundant number, since it is smaller than the sum of its proper divisors (250824648545136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86253601235760 is a wasteful number, since it uses less digits than its factorization.

86253601235760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849761 (or 849745 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 86253601235760 in words is "eighty-six trillion, two hundred fifty-three billion, six hundred one million, two hundred thirty-five thousand, seven hundred sixty".